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Finding the Fourth Proportional to 13,810.97, 19,059.14 and 7,523.35

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Solution

The fourth proportional to 13,810.97, 19,059.14 and 7,523.35 is: 10,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.97 : 19,059.14 = 7,523.35 : x
  2. Step 2: Convert to fraction form
    13,810.97/19,059.14 = 7,523.35/x
  3. Step 3: Cross multiply
    13,810.97x = 19,059.14 × 7,523.35
  4. Step 4: Simplify right side
    13,810.97x = 143,388,495.65
  5. Step 5: Solve for x
    x = 143,388,495.65/13,810.97
  6. Step 6: Final answer
    x = 10,382.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.